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Stability analysis of set trajectories for families of impulsive equations
Authors:A A Martynyuk
Institution:S.P. Timoshenko Institute of Mechanics NAS of Ukraine , Kiev, Ukraine.
Abstract:In this paper, for a family of impulsive equations, a heterogeneous matrix-valued Lyapunov-like function is considered, the comparison principle is formulated, and stability conditions for the set of stationary solutions are established. In addition, for a class of impulsive equations with uncertain parameters the monotone iterative technique for constructing a set of solutions is adapted.
Keywords:Family of impulsive equations  stability  comparison principle  monotone iterative technique
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